11101114320 has 160 divisors (see below), whose sum is σ = 35087040000. Its totient is φ = 2902620672.

The previous prime is 11101114313. The next prime is 11101114357. The reversal of 11101114320 is 2341110111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11101114320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7404931 + ... + 7406429.

It is an arithmetic number, because the mean of its divisors is an integer number (219294000).

Almost surely, 2^11101114320 is an apocalyptic number.

11101114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17543520000).

11101114320 is an abundant number, since it is smaller than the sum of its proper divisors (23985925680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101114320 is a wasteful number, since it uses less digits than its factorization.

11101114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11101114320 its reverse (2341110111), we get a palindrome (13442224431).

The spelling of 11101114320 in words is "eleven billion, one hundred one million, one hundred fourteen thousand, three hundred twenty".